Equations of Mathematical Physics

Professional area: 
4.5. Mathematics
Degree: 
Master of Science
Speciality: 
MIM232113 Mathematics
Master's programme: 
Equations of Mathematical Physics
Form of education: 
Full-time
Duration of full-time training (in semesters): 
3
Professional qualification: 
MSC in Mathematics - Equations of Mathematical Physics
Language of Instruction: 
Bulgarian
Master's programme director: 
Assoc. Prof. Maria Karatopraklieva, PhD

Focus, educational goals

The main goal of the master programme is to prepare skilled specialists not only for theoretical research in the field of Equations of Mathematical Physics, but also in their numerous applications. The trained specialists are expected to possess flexibility, uniqueness of their training and communication abilities. Contemporary life gives opportunities to use powerful computers and new complex and effective numerical methods to solve difficult problems for both Linear and Nonlinear Partial Differential Equations.

Training (knowledge and skills)

Numerous elective and compulsory courses in private differential equations also include a number of courses in numerical methods for such equations.

  • Mechanics courses are also included, where not only the physical models leading to the corresponding equations are studied, but also modern methods are provided for their solution and for the visualization of the results. The latter reflects the acknowledged fact that concepts, models, ideas and methods in the field of differential equations are widely used in other natural and social sciences, as well as in biology, economics, industrial and civil engineering applications.
  • Students trained under this program will have the opportunity, following an additional internal competition, to continue their studies in Western European universities with whom the program manager has concluded contracts under the Erasmus / Socrates exchange program or similar ones (see the FMI website conversion).

Professional competence

  • It is also envisaged that students will acquire skills for the realization of numerical methods of a supercomputer with parallel architecture as well as effective 3D visualization and computer simulation of real processes in the newly created laboratory at the FMI (Center for Simulation and Visualization of Business Processes) of the same subject of activity.
  • A visualization and numerical simulation laboratory has been set up at the FMI. The construction will be carried out in cooperation with the Norwegian Priority Research and Development Group for Mathematical Modelling, Numerical Simulations and Computer Visualization. It is based on parallel architecture of Hewlett-Packard and active stereo technology. Part of the purpose of this laboratory is the visualization and simulation of non-linear Mathematical Physics tasks related to Engineering Design, Geometric Modelling and Fluid Dynamics

Professional realization

  1. This Master's programme is intended to complete both a theoretical thesis and a thesis based on applied research. The necessary flexibility is provided allowing the trainee to be profiled in his/her chosen field of Applied Mathematics, for which he/she will be advised and will receive assistance from qualified teachers. This will enable graduates of this programme to find their place to work both in the field of theoretical research and in units that are mainly interested in applications.
  2. No less important goal is to obtain the necessary basis for independent research and further inclusion in a Doctoral programme at Sofia University or another university (Bulgarian or foreign one).
  3. After building this visualization laboratory, we hope that our students will start working there and the former will become a modern Center for the development and realization of non-linear mathematical models and methods, combining analytical and asymptotic approaches, numerical simulations, three dimensional visualizations and comparison with experimental 

Contact information